Disjointly strictly singular operators and interpolation

DOI10.1017/S0308210500023222zbMath0860.47024OpenAlexW2158851696MaRDI QIDQ4715342

César Ruiz, Francisco L. Hernández, Alejandro García del Amo

Publication date: 12 November 1996

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500023222

zbMATH Keywords

interpolation propertieslattice structurerearrangement invariant function spacesOrlicz function spacesdisjointly strictly singular operators on Banach lattices

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Positive linear operators and order-bounded operators (47B65)

Related Items (3)

On the structure of variable exponent spaces ⋮ Domination by positive disjointly strictly singular operators ⋮ Strictly singular inclusions into \(L^1 + L^\infty\)

Cites Work

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• On \(l^ p\)-complemented copies in Orlicz spaces. II
• Universal classes of Orlicz function spaces
• Closed operator ideals and interpolation
• One-sided compactness results for Aronszajn-Gagliardo functors
• On the Orlicz function spaces \(L_M(0,\infty)\)
• On interpolation of strictly (co-)singular linear operators
• Interpolation with a parameter function.
• Orlicz sequence spaces without local convexity

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